# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:(p(s(t_bool,h4s_bags_subu_u_bag(s(t_fun(X1,t_h4s_nums_num),X3),s(t_fun(X1,t_h4s_nums_num),X2))))=>p(s(t_bool,h4s_predu_u_sets_subset(s(t_fun(X1,t_bool),h4s_bags_setu_u_ofu_u_bag(s(t_fun(X1,t_h4s_nums_num),X3))),s(t_fun(X1,t_bool),h4s_bags_setu_u_ofu_u_bag(s(t_fun(X1,t_h4s_nums_num),X2))))))),file('i/f/bag/SUB__BAG__SET', ch4s_bags_SUBu_u_BAGu_u_SET)).
fof(2, axiom,p(s(t_bool,t)),file('i/f/bag/SUB__BAG__SET', aHLu_TRUTH)).
fof(6, axiom,![X4]:(s(t_bool,X4)=s(t_bool,t)<=>p(s(t_bool,X4))),file('i/f/bag/SUB__BAG__SET', ah4s_bools_EQu_u_CLAUSESu_c1)).
fof(10, axiom,![X1]:![X4]:![X12]:(p(s(t_bool,h4s_predu_u_sets_subset(s(t_fun(X1,t_bool),X12),s(t_fun(X1,t_bool),X4))))<=>![X5]:(p(s(t_bool,h4s_bools_in(s(X1,X5),s(t_fun(X1,t_bool),X12))))=>p(s(t_bool,h4s_bools_in(s(X1,X5),s(t_fun(X1,t_bool),X4)))))),file('i/f/bag/SUB__BAG__SET', ah4s_predu_u_sets_SUBSETu_u_DEF)).
fof(11, axiom,![X1]:![X13]:![X5]:s(t_bool,happ(s(t_fun(X1,t_bool),h4s_bags_setu_u_ofu_u_bag(s(t_fun(X1,t_h4s_nums_num),X13))),s(X1,X5)))=s(t_bool,h4s_bags_bagu_u_in(s(X1,X5),s(t_fun(X1,t_h4s_nums_num),X13))),file('i/f/bag/SUB__BAG__SET', ah4s_bags_SETu_u_OFu_u_BAG0)).
fof(13, axiom,![X1]:![X5]:![X18]:s(t_bool,h4s_bools_in(s(X1,X5),s(t_fun(X1,t_bool),X18)))=s(t_bool,happ(s(t_fun(X1,t_bool),X18),s(X1,X5))),file('i/f/bag/SUB__BAG__SET', ah4s_predu_u_sets_SPECIFICATION)).
fof(14, axiom,![X1]:![X2]:![X3]:(p(s(t_bool,h4s_bags_subu_u_bag(s(t_fun(X1,t_h4s_nums_num),X3),s(t_fun(X1,t_h4s_nums_num),X2))))<=>![X5]:![X19]:(p(s(t_bool,h4s_bags_bagu_u_inn(s(X1,X5),s(t_h4s_nums_num,X19),s(t_fun(X1,t_h4s_nums_num),X3))))=>p(s(t_bool,h4s_bags_bagu_u_inn(s(X1,X5),s(t_h4s_nums_num,X19),s(t_fun(X1,t_h4s_nums_num),X2)))))),file('i/f/bag/SUB__BAG__SET', ah4s_bags_SUBu_u_BAG0)).
fof(15, axiom,![X1]:![X20]:![X13]:s(t_bool,h4s_bags_bagu_u_in(s(X1,X20),s(t_fun(X1,t_h4s_nums_num),X13)))=s(t_bool,h4s_bags_bagu_u_inn(s(X1,X20),s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,h4s_arithmetics_zero))))),s(t_fun(X1,t_h4s_nums_num),X13))),file('i/f/bag/SUB__BAG__SET', ah4s_bags_BAGu_u_IN0)).
fof(16, axiom,![X4]:(s(t_bool,X4)=s(t_bool,t)|s(t_bool,X4)=s(t_bool,f)),file('i/f/bag/SUB__BAG__SET', aHLu_BOOLu_CASES)).
fof(17, axiom,~(p(s(t_bool,f))),file('i/f/bag/SUB__BAG__SET', aHLu_FALSITY)).
# SZS output end CNFRefutation
